Pith Number

pith:QR6NIVM4

pith:2018:QR6NIVM466GBNWWXZCMJVLSACR

not attested not anchored not stored refs pending

Archimedean local height differences on elliptic curves

Corinna Stumpe, J. Steffen M\"uller

arxiv:1807.04153 v1 · 2018-07-11 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QR6NIVM466GBNWWXZCMJVLSACR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:10:57.805172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847cd4559cf78c16dad7c8989aae40147d713410927e4b1898fdb9e6cbac87e6

Aliases

arxiv: 1807.04153 · arxiv_version: 1807.04153v1 · doi: 10.48550/arxiv.1807.04153 · pith_short_12: QR6NIVM466GB · pith_short_16: QR6NIVM466GBNWWX · pith_short_8: QR6NIVM4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QR6NIVM466GBNWWXZCMJVLSACR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 847cd4559cf78c16dad7c8989aae40147d713410927e4b1898fdb9e6cbac87e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67fe90102caedb45d8d8b84d019fca1e63d4f19a48768de0ce3e863c4b578854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-11T14:21:27Z",
    "title_canon_sha256": "000093328d7eb53572cceb46ce2fd45012d3dac9b1b3826725b2e99a4deb9606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04153",
    "kind": "arxiv",
    "version": 1
  }
}